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int0^(pi/2) sin^2xcos^7xdx...

`int_0^(pi/2) sin^2xcos^7xdx`

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int_0^(pi/2) sin^2xcos^2xdx

int_0^(pi/2) sin^2xcos^3xdx

int_(0)^( pi/2)sin^2xcos xdx

int_0^(pi/2)sin^2xdx =

int_(0)^(pi)sin^(2)xcos^(3)xdx=0

Evaluate: int_0^(pi/2)sin^4xdx

int_(0)^(pi//2) sin^(4)xcos^(3)dx is equal to :

int_(0)^( pi/2)sin^(2)x cos^(3)xdx

int_(0)^( pi/2)sin^(2)x cos xdx